Question

2. The sum of the three angles in a triangle is 180 degrees. If you have a triangle where

the second angle is 20 degrees more than the first and the third is 2 times the second,
what is the measurement (in degrees) of the first angle? od ano qu
00077

Answer 1

The first angle in the triangle is 30 degrees.

Step-by-step explanation:

Let's assume that the first angle in the triangle is x degrees.

According to the given information, the second angle is 20 degrees more than the first, so it would be x + 20 degrees.

The third angle is 2 times the second angle, so it would be 2(x + 20) degrees.

Since the sum of the three angles in a triangle is 180 degrees, we can set up the equation:

1. x + (x + 20) + 2(x + 20) = 180
2. 4x + 60 = 180
3. 4x = 120
4. x = 30

Therefore, the first angle in the triangle is 30 degrees.

Learn more about Triangle angles